Solve 7(x + 9) + 2 = 6(4 + 7x) + 1 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$7(x+9)+2=6(4+7x)+1$$

Solve for x

$x = \frac{8}{7} = 1\frac{1}{7} \approx 1.142857143$

Steps for Solving Linear Equation

Use the distributive property to multiply $7$ by $x+9$.

$$7x+63+2=6\left(4+7x\right)+1$$

Add $63$ and $2$ to get $65$.

$$7x+65=6\left(4+7x\right)+1$$

Use the distributive property to multiply $6$ by $4+7x$.

$$7x+65=24+42x+1$$

Add $24$ and $1$ to get $25$.

$$7x+65=25+42x$$

Subtract $42x$ from both sides.

$$7x+65-42x=25$$

Combine $7x$ and $-42x$ to get $-35x$.

$$-35x+65=25$$

Subtract $65$ from both sides.

$$-35x=25-65$$

Subtract $65$ from $25$ to get $-40$.

$$-35x=-40$$

Divide both sides by $-35$.

$$x=\frac{-40}{-35}$$

Reduce the fraction $\frac{-40}{-35}$ to lowest terms by extracting and canceling out $-5$.

$$x=\frac{8}{7}$$